Sometimes climbing with a friend we use his two 60m half ropes (120m !) for short pitches sometimes less than 15m. (My own preference incidentally would often be for a single rope, accepting some disadvantages, which is lighter and simpler.)
What is the best way of using one doubled half rope instead?
There have been previous threads about tying into the middle of the rope before climbing, but I'm looking for a system where it would be easiest to free more rope length if necessary so that a distant anchor could be reached after finishing the actual pitch.
My first thought is for leader to tie into both ends and for second to tie to middle using fig 8 on bight to anti-crossloading screwgate to harness belay loop. Belayer has both anchor setup and tube belay device each clipped to harness loop independently.
At end of pitch leader unties one end of rope. Second unclips middle knot and unties it, pulls dropped inactive side of rope through plate and reclips to end or ties in as normal. Leader carries on to distant anchor still protected by a rope.
Might speed things up by unclipping inactive dropped side of rope from belay device rather than pulling through, but sketchy if the leader unexpectedly slips while the gate is open. Perhaps easiest to clip active rope at plate to harness loop with another screwgate before unclipping the inactive rope (or both rope sides) from the initial krab. With care it shouldn't be necessary to tie off the leader while doing this.
Sorry about the rather unclear and faffy sounding description. Definitely not rocket science but I may be missing something blindingly obvious.